code: def sdm_monomial_mul(M, X):
      """
      Multiply tuple ``X`` representing a monomial of `K[X]` into the tuple
      ``M`` representing a monomial of `F`.
  
      Examples
      ========
  
      Multiplying `xy^3` into `x f_1` yields `x^2 y^3 f_1`:
  
      >>> from sympy.polys.distributedmodules import sdm_monomial_mul
      >>> sdm_monomial_mul((1, 1, 0), (1, 3))
      (1, 2, 3)
      """
      return (M[0],) + monomial_mul(X, M[1:])
  
imports: from itertools import permutations
  from sympy.polys.monomials import monomial_mul, monomial_lcm, monomial_div, monomial_deg
  from sympy.polys.polytools import Poly
  from sympy.polys.polyutils import parallel_dict_from_expr
  from sympy.core.singleton import S
  from sympy.core.sympify import sympify
label_desc: Use image node_id 1 for calling a global function with example usage: sdm_monomial_mul(M, X) and returns: unknown